#help-10

1 messages · Page 309 of 1

timid silo
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oh

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idk how to do the question..

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u can't even use calculator to solve this

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so idk

obtuse pebbleBOT
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@timid silo Has your question been resolved?

halcyon sparrow
royal mulch
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@timid silo I can help if you would like

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I agree with you that the roots using the quadratic formula are $x = 26 \pm 4\sqrt{39}$

warm shaleBOT
royal mulch
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As decimal numbers I got about 1.02 and 50.98

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So the smallest integer is in the neighborhood of 1

obtuse pebbleBOT
#
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red cipher
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Hi I have a question about choosing the U-substitution for Calc 2

red cipher
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here is my attempt to the question by choosing ln(w) for my u

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but the final answer has a negative which I do not where it comes from

meager glade
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Chain rule

red cipher
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ouh

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yeah right ok thx

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i get it now

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haha

meager glade
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:D

red cipher
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waitwait

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so we also do chain rule when we do antiderivatives?

meager glade
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Yes

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If you write down the chain rule

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Then isolate f(x) instead of f'(x)

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Youll see it

unreal musk
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(it also may make it a tiny bit neater, though not anywhere near essential, if you chose u = 1 - ln(w) instead!)

obtuse pebbleBOT
#

@red cipher Has your question been resolved?

chrome crypt
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The point of u-substitution is that it unwinds the chain rule where we write the integral in terms of its composition thereby making it easier to solve for the antiderivative.

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Also don’t forget the +C

obtuse pebbleBOT
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jolly swift
#

Set theory... I need to prove this, but I have no idea where to even start. I have tried using venn diagram but got stuck almost immediately. If anyone could help, that would be amazing!

meager glade
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How would you usually start a proof to show two sets are equal?

obtuse pebbleBOT
#

@jolly swift Has your question been resolved?

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fiery smelt
#

after solving for the hypotenuse i got √45, which i simplified down to 3√5

fiery smelt
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but in the answers, the hypotenuse is listed as 5

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and for some reason, the a and b are wrong to

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in the question it seems like angle A is opposite to 6

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but sinA lists the opposite as 2√5

plain stag
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i think, rather than them saying the hypotenuse is 5, they just rationalized the denominator

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try rationalizing 6/(3√5) and see if you get the same thing they got

fiery smelt
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alright

tidal gazelle
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there is no way that the hypotenuse of that triangle is 5, even when 3sqrt(5) is rationalized you will bet 15/sqrt(5) which is clearly not 5

fiery smelt
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6/(3√5) ratonalized to 2√5/5 which is the answer but

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where do you get 6 from

plain stag
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6 is the side opposite angle A

remote dune
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6 is the length

fiery smelt
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ah right right

plain stag
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even when 3sqrt(5) is rationalized you will bet 15/sqrt(5)

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no you will not

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try again

fiery smelt
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thank you

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.close

obtuse pebbleBOT
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glossy trail
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Hey I was just wondering how I would complete this? This makes absolutely no sense to me and I kind of need help please and thank you.

glossy trail
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So I started with CSC and I noticed that if you put the opposite it would be two over 1 which would make it two.

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So then I went on to the next problem part B and I noticed that it was 60 degrees and not 30 degrees so I put the two in front of the square root of 3 over 3.

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And I don't really understand how COT 60 degrees is equal to the square root of three over 3?

hexed agate
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The double angle identities would help here

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Or hmm

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Can you find cos(30)

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Nvmd

glossy trail
hexed agate
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But can you find like cos 60 and sin 60?

glossy trail
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Also do you have any tips of how I could remember almost everything on that sheet paper?

hexed agate
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Given the question not sure you are allowed to use unit circle

glossy trail
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Well technically we're supposed to have this remembered by now but it's only been three days since I've learned about this and I don't know how that's possible

glossy trail
hexed agate
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Yes and cot is cos/sin iirc

glossy trail
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irc?

hexed agate
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If I remember correctly

glossy trail
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ohhh

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I think I get it- nvm

hexed agate
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What's cos60/sin60?

glossy trail
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1/2, square root of 3/2

hexed agate
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(1/2) / (√3/2)

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Simplify this

glossy trail
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I got the sqrt of 3 over 3.

obtuse pebbleBOT
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@glossy trail Has your question been resolved?

halcyon sparrow
obtuse pebbleBOT
#

@glossy trail Has your question been resolved?

obtuse pebbleBOT
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fiery ingot
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Hello

obtuse pebbleBOT
obtuse pebbleBOT
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@fiery ingot Has your question been resolved?

tardy epoch
#

.close

obtuse pebbleBOT
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brisk matrix
#

im hitting a wall with a big (O) problem. i have the following expansions
\begin{align*}
f(\tilde{t}) &= \left(\sum_{n=0}^N f_n(t)\varepsilon^n\right) + O(\varepsilon^{N+1}),\ 0 < \varepsilon << 1,\ \tilde{t} = \varepsilon t\
x(\hat{t},\tilde{t}) &=\left(\sum_{n=0}^Nx_n(\hat{t},\tilde{t})\varepsilon^n\right) + O(\varepsilon^{N+1}),\ \hat{t} = \int_0^t f(\tilde{\varepsilon t}), d\tau
\end{align*}
and we use them to compute approximations of the following pde
[
f^2\pdv{^2x}{\hat{t}^2} + 2f\varepsilon\pdv{^2x}{\hat{t}\partial\tilde{t}} + f'\varepsilon\pdv{x}{\hat{t}}+\varepsilon^2\pdv{^2x}{\tilde{t}^2}+f_0^2x = 0
]

azure anchor
brisk matrix
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use what brackets

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like the []

azure anchor
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[ ]

warm shaleBOT
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maximo

brisk matrix
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ok this should be the proper setup

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now i computed the O(epsilon) approximation to this, in two different ways

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and they give different approximations

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one way, as suggested by the paper im going off of, is to divide by f^2 and then apply the binomial theorem

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this essentially gives you that the final term becomes
[
\frac{f_0^2}{f^2}x \approx f_0^2\frac{x_0 + \varepsilon x_1}{f_0 + \varepsilon f_1} \approx
f_0^2\frac{1}{f_0^2}(1 - 2 \frac{\varepsilon f_1}{f_0})(x_0 + \varepsilon x_1)
]

warm shaleBOT
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maximo

cerulean jay
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too many 0s lol

warm shaleBOT
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maximo

#

maximo

brisk matrix
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so we just "lost" the eps * x_0 term?

warm shaleBOT
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maximo

brisk matrix
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which is very similar, but completely changes the process by which we approximate the solution to the pde. im not sure if something is going wrong, or if im "required" to divide by f^2

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wait

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oh im such an idiot

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the O(1) term gives us that (\pdv{^2x_0}{\hat{t}^2} + x_0 = 0), so the expressions are the same

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kill me

warm shaleBOT
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maximo

brisk matrix
#

.close

obtuse pebbleBOT
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red cipher
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hi

obtuse pebbleBOT
red cipher
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doing calc 2 integrals

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what should I do when I run into the problem when there is still an x variable under my du (red box)

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i mean whats causing this to not work out perfectly by cancelling everything out

low patio
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Ideally, this would not happen. However, you have a relation between u and x, so you can rewrite e^-x in terms of u

red cipher
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am i suppose to try a different value for U? or idk

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oh i see ok let me try that

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so

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after rewritin that x term ill just combine it with u^3 and the take the antiderivative?

low patio
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In this case, it is definitely a better choice to do u = e^x

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That might not seem obvious though

red cipher
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is there any trick for picking the best value for U

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or is it just experience and try

low patio
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LIATE is the best first step

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which you've done implicitly

red cipher
low patio
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yep, an unfortunate expansion upcoming but then basic product rule

red cipher
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haha ok

obtuse pebbleBOT
#

@red cipher Has your question been resolved?

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azure wren
#

I need help with my geomotry hw i need to solve for x but i dont know how to set up the problem , its in a triangle

royal basin
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well show us your problem

azure wren
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89-92

royal basin
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ok

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what do you know about the angles in any triangle?

azure wren
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What do you mean

royal basin
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ok let me be more direct

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what do the angles in any triangle add up to?

azure wren
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180

royal basin
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right

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that's what you're gonna use in all of these

azure wren
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So add everything and = to 180

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?

royal basin
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yes exactly

azure wren
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So A. Is x=-7

royal basin
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you mean #89?

azure wren
plucky sentinel
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Helper

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Help

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Help

royal basin
obtuse pebbleBOT
royal basin
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@azure wren yes, #89 is x=-7.

azure wren
#

Alright thanks i understand now

plucky sentinel
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@azure wren

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Are you availaible

azure wren
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Im not a helper

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I just got helped

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.close

obtuse pebbleBOT
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wise lake
obtuse pebbleBOT
wise lake
#

<@&286206848099549185>

light raft
#

!15m

obtuse pebbleBOT
#

Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.

light raft
#

anyways, start by trying to get rid of the log_1/2 first, how would you go about doing that?

wise lake
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Oh yeah thanks

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I can do that

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I'll be good after this

#

.close

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obtuse pebbleBOT
warm shaleBOT
#

Mycobacterium

serene dawn
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No

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And the derivative is simply 1/sqrt(1 + u^2) because it is the derivative of the antiderivatibe of 1/sqrt(1 + u^2)

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So it cancels out

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You can basically strike a line through the integral

warm shaleBOT
#

Mycobacterium

obtuse pebbleBOT
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normal glade
obtuse pebbleBOT
normal glade
#

Need some help with this one, answers ain't matching

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How should I proceed 🤔

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<@&286206848099549185>

hazy sundial
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yes

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which class are you in, if may i know?

golden night
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porbably 11th grade

hazy sundial
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yeah thought so

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however, i am in class 9 so i am not properly sure how to solve this one...

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but ill try

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yeah, cant..... guss ill have to do limts all over again

normal glade
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It's technically not a limit question tho.... Like I'm trying to find 1/Tr right now

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A good expression for it

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I got an answer but apparently not matching 🤦‍♂ that's why looking for some help

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The second part is done

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First part is being a little annoying

hazy sundial
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ooo

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I'm sorry..

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i cant solve it

timid silo
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i got on the first one 0

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idk if its right

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@normal glade what did you get

fathom flicker
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@fierce lagoon

normal glade
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Yea I got 0 as well

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The answer is 1

timid silo
#

oh

normal glade
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In the key

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What did you do?

normal glade
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@timid silo

timid silo
#

?

normal glade
timid silo
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wait i am trying to get 1 somehow

normal glade
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I tried a bunch... Ain't happening

serene dawn
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I've found an expression for the individual terms t_n and T_n but I'm not sure how it's useful and you've probably figured that out already

fierce lagoon
timid silo
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i got infinite

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and i got 1/4

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but not 1

normal glade
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💀

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I didn't get 1/4

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Just got infinite

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Can you show what you did?

timid silo
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i tried using tn * Tn = 1

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and wrote the lim in terms of that relation

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this implies 4 things

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tn = Tn = 1

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or

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tn = Tn = -1

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or

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tn = 1/Tn

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or Tn = 1/tn

normal glade
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Yea

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But how did you get 1/4

timid silo
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factor n^4

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wait actually

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i think i accomplished 1

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nvm

normal glade
#

💀

timid silo
#

i got it!!!

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i got 1

normal glade
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Send it damnn

tropic terrace
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i think its actually 1/4

timid silo
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i got 1/4 before but since he said his notebook said 1

normal glade
tropic terrace
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i got it

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i got the function t(n)

normal glade
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Yea same

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By doing

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Sn - s(n-1)

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Then summed it up

tropic terrace
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what function did you get?

normal glade
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Tr = (n+1) (n+2) (n+3)

tropic terrace
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t(n) equals that

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its easy now

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just calculate the limit from the formula

normal glade
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Yea so 1/4 is the right ans ig

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Wrong key

tropic terrace
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yeah

timid silo
#

anyone curious of seeing how i got 1 ?:)))

normal glade
#

Lemme try to get the answer key from another student

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If there's something wrong in mine

timid silo
#

can i dm you?

normal glade
#

Yea

#

Correct answer key

obtuse pebbleBOT
#

@normal glade Has your question been resolved?

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timid silo
#

I need help

obtuse pebbleBOT
timid silo
cyan sinew
#

what did you try

timid silo
#

I tried to find the the radius then count the area

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But failed

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Rn i have no clue how do it

dry grail
timid silo
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Well i didnt know how to do it-

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Which is why im here asking for help

timid silo
dry grail
#

That quarter circle is 1/4 of the entire circle

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use this

timid silo
#

Substract is -

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Rigth?

dry grail
#

yes

timid silo
#

If so then i only got 419.75

dry grail
#

the quarter circle is one forth of the entire circle
Not just 1/4 which is approximately 0.25

timid silo
#

Ty

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But no need to be harsh

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.close.

dry grail
silent anvil
robust bloom
#

answer is 315cm^2

silent anvil
# timid silo

for this type of question u can try to form equation with the sentence

robust bloom
silent anvil
#

not everyone can do mental calculation (untrained)

robust bloom
robust bloom
#

its so hard to just multiply and divide just visualising

golden night
#

it is basic but do chill

robust bloom
#

bruh

silent anvil
#

but still is that guy closing or not

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im 17 and i admit it

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jesus

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@timid silo

#

close channel

#

u din close it properly

golden night
#

it will time out if we stopped talking

robust bloom
#

u cant

silent anvil
#

😭 ok

robust bloom
golden night
robust bloom
#

u could do some rough work

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ok

silent anvil
#

welp lets shut up before we get warned

dry grail
robust bloom
dry grail
#

let's just not judge otherrs, shall we @robust bloom?

robust bloom
dry grail
dry grail
#

@timid silo Remember to close the channel

obtuse pebbleBOT
#

@timid silo Has your question been resolved?

obtuse pebbleBOT
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pastel wraith
#

So in a book I found 8 axioms for vector spaces. Do I have to show each axiom for this specific set V and then I have proven that set V is a vector space or what am I supposed to do here?

kind hawk
#

yes show all axioms

pastel wraith
#

ok thank you for clarification this seemed to simple for me so I wanted to ask

#

have a great day!

#

.close

obtuse pebbleBOT
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compact current
#

@kind hawk

#

Plz help

#

.reopen

obtuse pebbleBOT
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dim breach
#

help

obtuse pebbleBOT
#

Please don't occupy multiple help channels.

dim breach
#

help

royal basin
#

!1c

obtuse pebbleBOT
#

Please stick to your channel.

royal basin
#

.close

obtuse pebbleBOT
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willow depot
#

is there anyone who knows how to solve this kind of questions?

obtuse pebbleBOT
#

@willow depot Has your question been resolved?

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tender portal
#

how to make it diagonally (45 degree)with wave as it is this function? please tag me

kind hawk
#

its unclear what you mean

#

can you draw a picture?

#

@tender portal

narrow ember
#

x+sin(x) maybe

tender portal
#

@kind hawk

#

LMAO , thanks guys XD

narrow ember
#

it is not rotated

#

but it looks like it is

#

but there is how you do it

tender portal
#

thank you

obtuse pebbleBOT
#

@tender portal Has your question been resolved?

obtuse pebbleBOT
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loud shell
#

This is the equation for the Fourier equation the boundary conditions for X and X’ are 0.

loud shell
#

And I have to use this particular equation to solve for this problem

Find the temperature 𝑢 (𝑥,𝑡) at any point of the metal rod of
length 25 cm, that is insulated on the ends as well as on the
sides and whose initial temperature distribution is 𝑢 (𝑥, 0) = 𝑥, for 0 < 𝑥 < 25

#

Right?

#

Am i not using the general equation with the sin function because of this statement: "insulated on the ends as well as on the sides"

obtuse pebbleBOT
#

@loud shell Has your question been resolved?

loud shell
#

need help ;-;

obtuse pebbleBOT
#

@loud shell Has your question been resolved?

obtuse pebbleBOT
#
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versed heath
obtuse pebbleBOT
versed heath
#

I’m not sure how we obtain the highlighted line

gilded needle
#

just use gamma = x in the contrapositive of the previous sentence

#

not sure why they used gamma in that sentence, tbh

versed heath
#

.close

obtuse pebbleBOT
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left hollow
#

can you solve this system of equations

obtuse pebbleBOT
viral blade
#

Where is this problem from?

left hollow
#

I don't know how to solve this

tardy epoch
warm shaleBOT
#

riemann

slender scroll
#

You'll probably need the base change one

left hollow
#

.close

obtuse pebbleBOT
#
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sweet mason
#

You have organized a lottery to raise funds for the charity organization where you work. You sold 5,000 tickets for $20 each. There is one grand prize of $25,000, 20 first-place prizes of $1,000, 50 second-place prizes of $600, 100 third-place prizes of $300, and 400 fourth-place prizes of $150. The remaining tickets receive no prize.

What is the expected value of a randomly selected lottery ticket?
Please help if you know.

lone dirge
#

Hi

#

!status

obtuse pebbleBOT
#
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
sweet mason
lone dirge
#

!show

obtuse pebbleBOT
#

Show your work, and if possible, explain where you are stuck.

sweet mason
#

1/5000 * 25000 + 20/5000 * 1000 + 50/ 5000 * 600 + 100 / 5000 * 300 + 400/5000 * 150 = 33 dollars

#

But i think something wrong

lone dirge
#

almost right

#

you need to subtract the cost of the ticket

#

So, if you win, you win (prize - ticket price)

#

and if you don't, you just pay the ticket price

sweet mason
#

But there's no 13 dollar answer in test )

#

33 - 20 is it correct?

lone dirge
#

,w 1/5000 * 25000 + 20/5000 * 1000 + 50/ 5000 * 600 + 100 / 5000 * 300 + 400/5000 * 150 - 20

sweet mason
#

Maybe test is wrong(
Thanks.

lone dirge
#

what are the possible answers?

sweet mason
#

9.5
13.5
15
20

lone dirge
#

That's odd

sweet mason
#

Yeah actually

#

Thanks anyway

lone dirge
#

yw

obtuse pebbleBOT
#

@sweet mason Has your question been resolved?

sweet mason
#

. close

#

.close

obtuse pebbleBOT
#
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obtuse pebbleBOT
#
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pastel wraith
#

This is more of a understanding question but the task is to "show". Is this considered showing the cancellation laws for rings?

gilded needle
#

yes

#

your proof looks fine and yes, this is showing the cancellation law holds under the given conditions

pastel wraith
#

ok thank you for clarifying

#

.close

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#
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#
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oblique void
#

<@&286206848099549185>

obtuse pebbleBOT
wary badger
#

u have to post a question first

#

and wait 15 minutes

oblique void
#

Oh sorry 😂

wary badger
#

then ping helpers if u don’t get an answer

brisk arrow
#

Send the question!!

oblique void
wary badger
#

use a graphing calculator

#

it should have the linear regression function

#

if u go to stat

#

and make a list in the edit menu

oblique void
#

I need someone to help me do the@

#

Them

#

I don’t have a calculator

wary badger
#

they make u do it by hand?

oblique void
#

Yup

#

Kinda shit right ?

#

And this is extra credit for my final

#

I only have 13 questions left and I have 0 idea how to do any of the@

wary badger
#

yes that’s awful

#

calculate the averages of each column

#

you’ll need that

#

the slope is like r *sy/sx

oblique void
#

Dude I have no idea what to do

wary badger
#

no way they make u calculate the standard deviation by hand

#

😭😭😭

#

u know how long that would take?

oblique void
#

I get your trying to help but I was in an accident that threw me out of school for quarter 2

#

So I have no idea of anything

wary badger
#

r u sure u can’t use a calculator

#

i can use it for u

oblique void
#

I was honestly going to pay a friend to do it for me

wary badger
#

if u don’t have to show work

oblique void
#

I don’t have to show work

wary badger
#

i gotchu

oblique void
#

Just fill in the boxes

#

Do I owe you anything ?

#

I don’t mind

#

There’s only 13 questions left 😂 and I’m screwed if they aren’t done by 8am

wary badger
#

ok

#

so

#

it’s

#

y=963+19x

oblique void
#

That’s the equation?

wary badger
#

for the equation

#

answer would be 9.4

#

1142=963+19x

#

x=9.4

oblique void
#

It says wrong

oblique void
#

It says equation is right

#

But final answer is wrong

wary badger
oblique void
#

Yeah

wary badger
#

oh wait

#

it says the calendar year

#

not how many years after

#

my bad

oblique void
#

It’s making me do a whole new one

wary badger
#

so 2020?

#

😭

oblique void
#

I hate online shit dude

wary badger
#

y=987.1+17.6x

#

2018

oblique void
#

2018 is final answer ?

wary badger
#

or 2017

#

wait

#

don’t do it yet

oblique void
#

Okay

#

I’m sorry that this is gonna take forever dude

wary badger
#

i think 2017 actually

#

yea

#

it’ll be sometime in 2017

oblique void
#

That was right

wary badger
#

ok good

oblique void
#

There’s only 4 more of these type of questions

wary badger
#

67.1+20.1x

#

y=

oblique void
#

Since this is gonna take longer do you wanna call if that would make it easier

wary badger
#

nah it’s fine

#

2012

oblique void
#

Alr

#

That was right

wary badger
#

do u not have a calculator

oblique void
#

I don’t 😅

#

I just order one on Amazon

#

Ordered*

wary badger
#

yea u need the ti84

oblique void
#

Yep

wary badger
#

wait

oblique void
wary badger
#

it says statistics calculator

#

that probably is what u can use

oblique void
#

Dude your helping me greatly dude

wary badger
#

yea no worries

oblique void
#

Well it’s turned off for the assignment

wary badger
#

oh fr!

oblique void
#

She disabled it

wary badger
#

?

oblique void
#

🥲

wary badger
#

wack

oblique void
#

Well it’s what happens when you get a booty ass teacher 🤣

#

I’m at a tech school and this is what she got us learning

wary badger
#

58.9+0.2x

#

wait

#

it says nearest integer

oblique void
#

What to change ?

wary badger
#

or no the equation is fine

oblique void
#

Okay okay had me worried

wary badger
#

wait

#

no if messed it up in my calculator

#

i hit 2 instead of 72 gimme a minute

oblique void
#

lol all good 😂

#

Atleast h got a calculator

#

You*

wary badger
#

ok 20.6+0.7x

oblique void
#

Alr

#

Final?

wary badger
#

then 33

oblique void
#

Correct

#

You don’t gotta help man I feel bad

#

Even though it’s crucial 😂

wary badger
#

121.52+10.86x

#

219

wary badger
#

if u want

#

i can help u out later at night

#

i gotta write an essay

#

english is wack

oblique void
#

Alr here 1 sec

#

There is one more of these and a few more of the other ones it shouldn’t be more than like 15 minutes

#

If you wanna stick it out rq ?

wary badger
#

few more of what

oblique void
#

Just calculating the regressions

wary badger
#

799.80+31.00x

#

idk if she wants the zeros or not but whatever that’s to the hundredths place technically

#

2022

oblique void
#

lol

wary badger
#

what

oblique void
#

There is only these left

#

Are these easier for you ?

wary badger
#

they’re all easy questuons

oblique void
wary badger
#

it’s just tedious

oblique void
#

Yeah I know especially without a calculator 😐

wary badger
#

yea that’s not bad

#

it skips a step

oblique void
#

Awesome

#

There are 9 of these then I’m done

#

😱

wary badger
#

y=-0.58x^2+19.81x-86.45

oblique void
#

How do I put this I. ?

wary badger
#

same way i did

oblique void
#

I don’t have ^

#

On my laptop

wary badger
#

ur kidding

#

is there a way to superscript

oblique void
#

One sec

#

That was right

#

I’m stupid

#

I found it 🤦‍♂️

wary badger
#

all good

#

it’s the 6

oblique void
#

And what time zone did you say ?

#

Or I meant to ask you

wary badger
#

y=(8669.5)(0.9)^x

#

only the 0.9 is raised to the x power

wary badger
#

it’s 1050 pm

oblique void
#

Like that ?

#

Okay same for me then

wary badger
#

yea

oblique void
#

Alright

wary badger
#

y=(401.8)(x^1.6)

#

idk if the exponent being inside or outside matters

#

hopefully not

oblique void
#

Wait how exactly do I put that in

wary badger
#

i’d put it like this actually

#

(401.8)(x)^1.6

#

same way u did before just the x and the constant term switched basically

#

in this case the constant term is 1.6

oblique void
#

Okay it was right lol

#

Makes sense

#

7

wary badger
#

14.708+-5.338x

#

7 more??

#

is this a different assignment or something

oblique void
#

Yeah then I’m done fully

wary badger
#

hurry up then

oblique void
#

No it’s all one giant extra credit assignment

wary badger
#

(3137.011)(x)^1.595

oblique void
wary badger
#

(7336.227)(x)^1.608

oblique void
wary badger
#

(107.1)(1.1)^x

oblique void
#

3 more

wary badger
#

-8.68x^2+166.39-419.72

#

wait

#

put an x on the 166 term

oblique void
#

Wdym ?

wary badger
#

like

oblique void
#

Like 166.39x

wary badger
#

yes

oblique void
#

Didn’t wanna put it in wrong and not know what I did wrong

wary badger
#

-0.1x^2+6.4x-50.2

oblique void
#

Last one

#

Again man your awesome dude you literally saved me from not doing my extra credit

#

And saved my exam grade 👍👍👍

wary badger
#

-3.658x^2+102.933x-341.829

wary badger
#

ur welcome

#

is there one more

oblique void
#

Nah dude your good

wary badger
#

it says 9/10

oblique void
#

Thanks man

wary badger
#

was one wrong?

#

no problem

oblique void
#

Didn’t mean to send you the question

wary badger
#

oh ok good

#

ur welcome

#

have a nice night

oblique void
#

Yeah man good luck on your exams

#

Bless you dude

wary badger
#

u too

obtuse pebbleBOT
#

@oblique void Has your question been resolved?

obtuse pebbleBOT
#
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obtuse pebbleBOT
#
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After 15 minutes, feel free to ping <@&286206848099549185>.
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sage dagger
#

I’m confused did I already set this up wrong

sage dagger
#

I can’t go any further lol

royal basin
#

wym

sage dagger
#

I can’t do 5x^3 + 4x^2

#

Like

#

Am I done already?

boreal jay
#

yeah i think that's basically it

royal basin
#

well, you might want to pad with zeros

#

like x^4 + 0x^3 + 2x^2 + 8x + 5 for your divisor

#

and then all the terms should line up nicely again

boreal jay
#

that too

#

u kept the x^2 term underneath the x^3 term

#

and the following after that messes it up

sage dagger
#

Hm okay

rich fable
#

yeah dont forget to include the powers of x with coefficients of zero. you need to put them in. like you have have to write in 0x^3 into the divisor as well for example so that long division works. of course, you dont have to put it in when writing out the dividend or disviisor in some regular situation

sage dagger
#

Like this?

royal basin
#

yes

sage dagger
#

How do I know when I’m done with long division again?

#

I know it has something to do with the degree being lower than something else

royal basin
#

deg(remainder) < deg(divisor)

sage dagger
#

Oh okay

#

So (5x^3 + 17x + 6)/ divisor is my remainder right

#

Why the warning

royal basin
#

there is a bit of doublespeak in what "remainder" might mean coming from you

#

the equation for euclidean division of polynomials can be either:
f(x) = g(x)*q(x) + r(x)
with r(x) as the remainder
or
f(x)/g(x) = q(x) + r(x)/g(x)
with r(x)/g(x) as the "remainder"

sage dagger
#

Well the quotient on the right is my remainder I believe

kind hawk
#

note that in the integers, when you divide 30 by 7, you would say that the remainder is 2 and not 2/7

sage dagger
#

yeah

#

By the way would it be wise to expand and simplify this

#

I’m not quite sure

kind hawk
#

that is one of the standard ways to compute partial fractions

#

expand and then compare coefficients

sage dagger
#

because I’m not trying to solve a systems of equations with this (I’d like to avoid it if possible)

kind hawk
#

well good luck avoiding it

sage dagger
#

I mean I have a general idea of how

#

The other PFD integrals I could easily solve using a different method

#

Of choosing certain values of x to make for example A or B disappear and then solving for either A or B depending on what I chose

#

has always worked so far but we’ll see I guess hmmCat

kind hawk
#

yes you can do that here to find some of the values at least

#

but not all of them

sage dagger
#

I see

obtuse pebbleBOT
#

@sage dagger Has your question been resolved?

obtuse pebbleBOT
#
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obtuse pebbleBOT
#
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After 15 minutes, feel free to ping <@&286206848099549185>.
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hexed violet
#

so 3/ (square root 5x) - 3

i did try to rationalize and got 5x - 3(square root 5x) - 3(square root 5x) + 9

that doesnt seem right, cuz i wanted to get rid of the square root

inland matrix
#

$\frac{3}{\sqrt{5x}-3}$

warm shaleBOT
#

Lorentz

inland matrix
#

This your q?

hexed violet
#

yup

high lily
#

when rationalising stuff like this, you'd want to use
conjugates, applying the difference of two squares identity

hexed violet
#

I multiplies both num and dem by (square root 5x) - 3

high lily
#

which is why it didn't work

inland matrix
#

Do it + 3 instead

hexed violet
#

bet

#

5x - 9 (so i rationalize with the opposite sign?)

inland matrix
#

Yes

#

What you multiplied with is the conjugate
In this case it was sqrt(5x) + 3

timid silo
#

[
\f c{a\pm b} \c b{\cd \f{a\mp b}{a\mp b}} = \f{c(a\mp b)}{a^2 - b^2}
]
is the general procedure, as an fyi

warm shaleBOT
hexed violet
#

ah bet makes sense

#

@timid silo @inland matrix thx so much

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @hexed violet

Use .reopen if this was a mistake.

inland matrix
#

Np

timid silo
#

dont forget @high lily smh

hexed violet
#

mb @high lily thx

high lily
#

would prefer not to get pinged

#

but ty

hexed violet
#

...mb

obtuse pebbleBOT
#
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lethal breach
#

hello, i made this question yesterday, but still couldn't get to understand the equation, I was trying to understand how the 2 divisions circled in blue ended as 1/1, i was told that they factor out, but i don't understand how they do so, the one circled in green shows that the division doesn't end in a 1/1, since 2^98/2^99=2^0 which is 1, and 2^1 which is 2, so how did they blue divisions ended as a 1/1? i don't get it, can anyone walk me through it?

royal basin
#

circled in BLUE?

#

they didn't do any cancellation to the terms that you put in blue...

high lily
#

factoring out:
pq + pr + ps = p(q +r + s)
p was factored out, which in your case is 2^98 for the numerator
and 2^99 for the denominator

#

$\gray{1} \cdot \red{2^{98}} + \blue{2^2} \cdot \red{2^{98}} - \violet{2^4} \cdot \red{2^{98}} = \red{2^{98}}(\gray{1} + \blue{2^2} - \violet{2^4})$

warm shaleBOT
#

ℝαμΩℕωⅤ

high lily
#

the above shows what is happening in the factorisation process for the numerator

lethal breach
#

i see what they did, but i don't understand how they can get the result of 1 out of it; Did they divided both 2^98's by each other? what calculus did they did between the 2(2^98's) that resulted in 1?

high lily
#

where

#

$2^{98} \times \what = 2^{98}$

warm shaleBOT
#

ℝαμΩℕωⅤ

lethal breach
#

it's 1

high lily
#

yes

#

that's where that gray 1 above comes from

#

if that's the 1 you're referring to

lethal breach
#

but there is 3 2^98's you can't just remove the other 2 can you?

high lily
#

do you know how to expand stuff?

#

e.g.
how would you expand
p(q + r+ s)

lethal breach
#

pq+pr+ps?

high lily
#

yes

#

and factorisation is the process of going from stuff like
pq + pr + ps
back to
p(q +r + s)

#

p was factored out here, the same was done with the 2^98 above (coded in red)

lethal breach
#

oh i think i see, so it was like, wait...it's because the 2^98 is multiplying the 2^2 and the -2^4, so they just retracted or factored to represent anew? they just rewrote that bit they didn't really solved anything in that part just yet, that's what happened...?

#

not sure i phrased it very clearly

#

but i think i get it

high lily
#

all that can be summarisesd as factorisation

#

but yeh, that's what factoring does

#

takes out the common product and expresses the sum as a product

lethal breach
#

i just don't understand how to know that was the right way to do the calculus, i just went straight to division, but i thank you a lot for the explanation, i was having a hard time figuring this out.

high lily
#

you could divided numerator and denominator directly by 2^98 directly if you wanted without explicitly factoring

#

result will be the same, skips a step too

lethal breach
#

ok, i did the calculus and could understand it, so this one is closed, thanks again.

#

.close

obtuse pebbleBOT
#
Channel closed

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timid silo
#

If you have a right-angled triangle and you need to find the delta. The hypothoses is 7 and adjecent side is 3 and you solve delta with cos like normal can you also use pythagoras to get the opposite side and then do like sin(0)=_/58 ÷ 7

timid silo
high lily
#

you need to fix your values though

#

you didn't apply pythagoras properly

#

how are you getting sqrt(58)

royal basin
#

!original

obtuse pebbleBOT
#

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

royal basin
#

also

  • don't write theta as zero
  • don't write square root as _/
  • don't write division as ÷
obtuse pebbleBOT
#

@timid silo Has your question been resolved?

royal basin
#

@timid silo show us the problem as it was originally stated please

timid silo
#

There was no problem

#

I did it my self

royal basin
#

then tell us what you're doing in a way we can understand

#

maybe a diagram

#

right now i personally don't understand what you're going for at all

timid silo
final thunder
#

From what you said, you didn't use the pythagorean theorem properly.

#

[3^2 + x^2 = 7^2]

warm shaleBOT
timid silo
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @inner hinge

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After 15 minutes, feel free to ping <@&286206848099549185>.
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hybrid glade
#

i need help finding x and y

obtuse pebbleBOT
hybrid glade
#

i think i sort of understand the first one but the second one im not sure about

obtuse pebbleBOT
#

@hybrid glade Has your question been resolved?

robust bloom
#

What grade are you in?

untold badge
hybrid glade
robust bloom
#

find x in fig b by asp of quad

#

assuming the lamp posts are parallel

#

angle y will form corresponding interior angles

#

with angle 40+75

hybrid glade
#

oh so 65°

#

cause it's a z right

#

like this

#

cause don't u do 40+75 = 115

#

and then 180-115

robust bloom
#

Yeah

#

@hybrid glade

#

type .close

hybrid glade
#

wait

#

but how do I find x

short ore
#

quadrilateral angles add to 360

short ore
obtuse pebbleBOT
#

@hybrid glade Has your question been resolved?

robust bloom
#

@hybrid glade

#

yes?

#

use angle sum property of quadrilateral

#

all angles in a quad add up to 360 deg

hybrid glade
#

so x is 110?

robust bloom
#

@hybrid glade type .close

hybrid glade
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @hybrid glade

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#
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Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
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timid silo
#

Hell

obtuse pebbleBOT
timid silo
#

Hello

#

Steps please

robust bloom
#

ok

#

q?

timid silo
#

?

#

I just need to know what steps to do

#

I’m confused with it

robust bloom
#

all q?

timid silo
#

The top 2

#

Only

short ore
#

you can cut the shape into 2 shapes

robust bloom
#

Find area of each individual rectangles

short ore
#

and work out the area for both of them

#

and add

robust bloom
#

and add them up

robust bloom
timid silo
#

Is that for area

short ore
#

yes

timid silo
#

Area u add them

#

And perimeter u times the answer u get

short ore
#

perim is just all of the side lengths added

timid silo
#

wait the picture I sent what number do I add first

#

For the first one

short ore
#

for the perimeter

#

add all the numbers together

#

it doesnt matter what order you do it in

timid silo
#

Okay

#

And the area ?

#

What u do

short ore
#

do the perimeter first

timid silo
#

Okay

#

I got 34.5

#

For perimeter

#

Is that right

#

I just added the

#

Them

short ore
#

how did you get that?

timid silo
#

I did 12.5 plus 7.9 plus 5.3 plus 8.8

#

I got 34.5

#

How you do it then

short ore
#

13.2 is still left

#

and theres another length

timid silo
#

OH

short ore
#

theres another line too

#

between 7.9 and 5.3

timid silo
#

Yeah ik but u said I need I to do perimeter first so imma add them

short ore
#

you need to add that line too

#

well i shouldve said

#

first u need to solve every unknown line

timid silo
#

Oh so I do 7.9 plus 5.3

short ore
#

then add all the lines together

robust bloom
#

@timid silo what grade are you in?

timid silo
#

I’m in year 10 😭

#

Maths in trying to get better

#

I’m

#

I’m in set 2

#

1 in higher

#

Is

robust bloom
#

what grade?

timid silo
#

10

robust bloom
timid silo
#

15

robust bloom
#

wtf

timid silo
#

This is just tuition homework I’m struggling on this only

robust bloom
#

I believe you are lying

timid silo
#

Nope I ain’t

#

I show u

short ore
#

this is a perimeter trick

timid silo
#

25.7?

short ore
#

these 2 shapes have the same perimeter

#

so solve the bigger rectangle

timid silo
#

12.5 + 13.2 ?

short ore
#

you need to add both twice

timid silo
#

Alr

short ore
#

cus u need to add every line

#

(this doesnt work for all shapes)

timid silo
#

12.5 + 12.5 + 13.2 + 13.2

short ore
#

yes

#

do you see how they have the same perimeter though?

timid silo
#

12.5+12.5+13.2+13.2=51.4

#

Yes i understand

#

Because the shape has the same number on each sides

short ore
#

yeah. i didnt change any of the line lengths only changed where they are

short ore
timid silo
#

Where do I put 51.4

short ore
#

thats the perimeter

timid silo
#

51.4?

short ore
#

because its all side lengths added together its the perimeter

timid silo
#

Okay

#

What’s area

#

Don’t understand why

#

That

short ore
#

for the area split the shape into 2 rectangles (which u or ur teacher has already done)

timid silo
#

Yeah teacher

#

Done it for me

short ore
#

and you find the area of both

#

then add

timid silo
#

Alr thank you

obtuse pebbleBOT
#

@timid silo Has your question been resolved?

#
Channel closed

Closed by @sly silo

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#
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After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.